34081111437409 has 9 divisors (see below), whose sum is σ = 35297022024147. Its totient is φ = 32905737236904.

The previous prime is 34081111437407. The next prime is 34081111437419. The reversal of 34081111437409 is 90473411118043.

The square root of 34081111437409 is 5837903.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 17871308137809 + 16209803299600 = 4227447^2 + 4026140^2 .

It is not a de Polignac number, because 34081111437409 - 2¹ = 34081111437407 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (34081111437407) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 169198534 + ... + 169399840.

Almost surely, 2^{34081111437409} is an apocalyptic number.

34081111437409 is the 5837903-rd square number.

34081111437409 is the 2918952-nd centered octagonal number.

It is an amenable number.

34081111437409 is a deficient number, since it is larger than the sum of its proper divisors (1215910586738).

34081111437409 is an frugal number, since it uses more digits than its factorization.

34081111437409 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 402672 (or 201336 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 46.

The spelling of 34081111437409 in words is "thirty-four trillion, eighty-one billion, one hundred eleven million, four hundred thirty-seven thousand, four hundred nine".